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26631136 = 257611949
BaseRepresentation
bin110010110010…
…1101111100000
31212010000001101
41211211233200
523304144021
62350444144
7442234540
oct145455740
955100041
1026631136
111403a404
128b03654
13569578c
143773320
152510a91
hex1965be0

26631136 has 48 divisors (see below), whose sum is σ = 60933600. Its totient is φ = 11220480.

The previous prime is 26631133. The next prime is 26631151. The reversal of 26631136 is 63113662.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26631133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12690 + ... + 14638.

It is an arithmetic number, because the mean of its divisors is an integer number (1269450).

Almost surely, 226631136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26631136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30466800).

26631136 is an abundant number, since it is smaller than the sum of its proper divisors (34302464).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

26631136 is a wasteful number, since it uses less digits than its factorization.

26631136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2027 (or 2019 counting only the distinct ones).

The product of its digits is 3888, while the sum is 28.

The square root of 26631136 is about 5160.5364062276. The cubic root of 26631136 is about 298.6275680465.

Adding to 26631136 its reverse (63113662), we get a palindrome (89744798).

The spelling of 26631136 in words is "twenty-six million, six hundred thirty-one thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 61 112 122 224 244 427 488 854 976 1708 1949 1952 3416 3898 6832 7796 13643 13664 15592 27286 31184 54572 62368 109144 118889 218288 237778 436576 475556 832223 951112 1664446 1902224 3328892 3804448 6657784 13315568 26631136